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Finding the Fourth Proportional to 157.18, 216.58 and 117.76

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Solution

The fourth proportional to 157.18, 216.58 and 117.76 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.18 : 216.58 = 117.76 : x
  2. Step 2: Convert to fraction form
    157.18/216.58 = 117.76/x
  3. Step 3: Cross multiply
    157.18x = 216.58 × 117.76
  4. Step 4: Simplify right side
    157.18x = 25,504.46
  5. Step 5: Solve for x
    x = 25,504.46/157.18
  6. Step 6: Final answer
    x = 162.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.